Question Part Points Submissions Used Gold is the most ductile of all metals. Fo

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Question Part Points Submissions Used Gold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.05 km long. What is the resistance of such a wire at 20
Question Part Points Submissions Used
Question Part Points Submissions Used
Question Part Points Submissions Used
Question Part Points Submissions Used
Question Part Points Submissions Used Gold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.05 km long. What is the resistance of such a wire at 20 Gold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.05 km long. What is the resistance of such a wire at 20 Question Part Points Submissions Used Gold is the most ductile of all metals. For example, one gram of gold can be drawn into a wire 2.05 km long. What is the resistance of such a wire at 20 degree C? (The density of gold at 20 degree C is 1.93 times 104 kg/m3.)

Explanation / Answer

Use R = p l/A, A is the only thing that really needs to be calculated.

p = resistivity = 2.44 10^-8 ohm-meters for gold
l = length = 2050 m

A = cross sectional area:
(1 gram)/(19300000 g/m^3) = 5.18 10^-8 m^3 (total volume of gold)

Dividing this volume by length gives us A = 2.388 10^-11 m^2

Plugging back in to R = pl/A we have [(2.44*10^-8)(2050)]/(2.388 10^-11) = 2.094 10^-16 ohms.

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